scholarly journals OPTIMAL DECAY RATES OF A NONLINEAR SUSPENSION BRIDGE WITH MEMORIES

2021 ◽  
Author(s):  
Mounir Afilal ◽  
Baowei Feng ◽  
Abdelaziz Soufyane
Keyword(s):  
Energy Method ◽  
Suspension Bridge ◽  
Decay Rates ◽  
One Dimension ◽  
Lyapunov Functionals ◽  
Decay Properties ◽  
Optimal Decay Rates ◽  
Optimal Decay

In this paper, we investigate the decay properties of suspension bridge with memories in one dimension. To prove our results, we use the energy method to build some very delicate Lyapunov functionals that give the desired results.

scholarly journals Uniform decay rates of a Bresse thermoelastic system in the whole space

2021 ◽  
Author(s):  
Mounir Afilal ◽  
Baowei Feng ◽  
Abdelaziz Soufyane
Keyword(s):  
Energy Method ◽  
Decay Rates ◽  
Lyapunov Functionals ◽  
Fourier Space ◽  
Uniform Decay ◽  
Decay Properties ◽  
Bresse System ◽  
Whole Space

In this paper, we investigate the decay properties of the thermoelastic Bresse system in the whole space. We consider many cases depending on the parameters of the model and we establish new decay rates. We need to mention here that, in some cases we don’t have the regularity-loss phenomena as in the previous works in the literature. To prove our results, we use the energy method in the Fourier space to build a very delicate Lyapunov functionals that give the desired results.

scholarly journals A new stability result for a thermoelastic Bresse system with viscoelastic damping

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Soh Edwin Mukiawa ◽  
Cyril Dennis Enyi ◽  
Tijani Abdulaziz Apalara
Keyword(s):  
Stability Result ◽  
Bending Moment ◽  
Decay Rates ◽  
Viscoelastic Damping ◽  
Physical Parameters ◽  
Bresse System ◽  
Solution Energy ◽  
Optimal Decay Rates ◽  
Optimal Decay ◽  
Weaker Conditions

AbstractWe investigate a thermoelastic Bresse system with viscoelastic damping acting on the shear force and heat conduction acting on the bending moment. We show that with weaker conditions on the relaxation function and physical parameters, the solution energy has general and optimal decay rates. Some examples are given to illustrate the findings.

scholarly journals Optimal decay rates for the stabilization of a string network

2014 ◽  
Vol 352 (6) ◽  
pp. 491-495 ◽  
Author(s):  
Mohamed Jellouli ◽  
Michel Mehrenberger
Keyword(s):  
Decay Rates ◽  
Optimal Decay Rates ◽  
Optimal Decay

scholarly journals Uniform decay rates of a coupled suspension bridges with temperature

2021 ◽  
Author(s):  
Mounir Afilal ◽  
Mohamed Alahyane ◽  
Abdelaziz Soufyane
Keyword(s):  
Energy Method ◽  
Lyapunov Functional ◽  
Decay Rates ◽  
Suspension Bridges ◽  
Uniform Decay ◽  
Decay Properties

AbstractIn this paper, we investigate the decay properties of the thermoelastic suspension bridges model. We prove that the energy is decaying exponentially. To our knowledge, our result is new and our method of proof is based on the energy method to build the appropriate Lyapunov functional.

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